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What is the range if a function f(x)=-x-2 when the domain is (-4,-2,1)?

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Final answer:

The range of the function f(x) = -x - 2, when the domain is (-4, -2, 1), is {0, -3}.

Step-by-step explanation:

The range of a function is the set of all possible output values (y-values) that the function can produce. To find the range of the function f(x) = -x - 2 with the given domain (-4, -2, 1), we need to substitute each x-value from the domain into the function and determine the corresponding y-value.

Substituting x = -4: f(-4) = -(-4) - 2 = 2 - 2 = 0.

Substituting x = -2: f(-2) = -(-2) - 2 = 2 - 2 = 0.

Substituting x = 1: f(1) = -1 - 2 = -3.

Therefore, the range of the function is {0, -3}.

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